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341348546128 = 242347139914107
BaseRepresentation
bin1001111011110011111…
…01010111011001010000
31012122002011111210202111
410331321331113121100
521043040211434003
6420451403555104
733442635524452
oct4757175273120
91178064453674
10341348546128
1112184639aa77
12561a4b2ba94
132625c3b5855
141274286a2d2
158d2c774e6d
hex4f79f57650

341348546128 has 80 divisors (see below), whose sum is σ = 705354854400. Its totient is φ = 159654642048.

The previous prime is 341348546089. The next prime is 341348546129. The reversal of 341348546128 is 821645843143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341348546129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24190051 + ... + 24204157.

It is an arithmetic number, because the mean of its divisors is an integer number (8816935680).

Almost surely, 2341348546128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341348546128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352677427200).

341348546128 is an abundant number, since it is smaller than the sum of its proper divisors (364006308272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

341348546128 is a wasteful number, since it uses less digits than its factorization.

341348546128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15584 (or 15578 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 49.

The spelling of 341348546128 in words is "three hundred forty-one billion, three hundred forty-eight million, five hundred forty-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 23 46 47 92 94 184 188 368 376 752 1081 1399 2162 2798 4324 5596 8648 11192 14107 17296 22384 28214 32177 56428 64354 65753 112856 128708 131506 225712 257416 263012 324461 514832 526024 648922 663029 1052048 1297844 1326058 1512319 2595688 2652116 3024638 5191376 5304232 6049276 10608464 12098552 15249667 19735693 24197104 30499334 39471386 60998668 78942772 121997336 157885544 243994672 315771088 453920939 907841878 927577571 1815683756 1855155142 3631367512 3710310284 7262735024 7420620568 14841241136 21334284133 42668568266 85337136532 170674273064 341348546128